JEDNOSTKA NAUKOWA KATEGORII A+

# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

## A class of solvable non-homogeneous differential operators on the Heisenberg group

### Tom 148 / 2001

Studia Mathematica 148 (2001), 87-96 MSC: 35A05, 43A80. DOI: 10.4064/sm148-1-8

#### Streszczenie

In [8], we studied the problem of local solvability of complex coefficient second order left-invariant differential operators on the Heisenberg group ${\mathbb H}_n$, whose principal parts are “positive combinations of generalized and degenerate generalized sub-Laplacians”, and which are homogeneous under the Heisenberg dilations. In this note, we shall consider the same class of operators, but in the presence of left invariant lower order terms, and shall discuss local solvability for these operators in a complete way. Previously known methods to study such non-homogeneous operators, as in [9] or [6], do not apply to these operators, and it is the main purpose of this article to introduce a new method, which should be applicable also in much wider settings.

#### Autorzy

• Detlef MüllerMathematisches Seminar
Christian-Albrechts-Universität Kiel
Ludewig-Meyn-Str. 4
24098 Kiel, Germany
e-mail
• Zhenqiu ZhangDepartment of Mathematics
Tianjin University
300072 Tianjin, P.R. China
e-mail

## Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Odśwież obrazek